105214799375868 has 360 divisors, whose sum is σ = 307893065246592. Its totient is φ = 27393806524032.

The previous prime is 105214799375683. The next prime is 105214799375891. The reversal of 105214799375868 is 868573997412501.

It is a super-2 number, since 2×105214799375868² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105214799375868.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14972929371 + ... + 14972936397.

It is a 3-persistent number, because k⋅105214799375868 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 2^{105214799375868} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105214799375868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153946532623296).

105214799375868 is an abundant number, since it is smaller than the sum of its proper divisors (202678265870724).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105214799375868 is an frugal number, since it uses more digits than its factorization.

105214799375868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7251 (or 7131 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 75.

The spelling of 105214799375868 in words is "one hundred five trillion, two hundred fourteen billion, seven hundred ninety-nine million, three hundred seventy-five thousand, eight hundred sixty-eight".